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Byju's Answer
Standard XII
Mathematics
Sequence
The number of...
Question
The number of four digit even numbers that can be formed with 0, 1, 2, 3, 7, 8 is:
A
180
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B
175
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C
160
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D
156
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Solution
The correct option is
D
156
→
First, let us find the total no. of four digit arrangement
→
Even digits = 2,8,0 [3digits]
5
4
3
3
Total no of cases
=
5 x 4 x 3 x 3
=
180
→
Excluding the ones that start with 0.
0
4
3
2
→
This time, the last can take 1 of 2 options
only (2,8)
No. of numbers starting with 0
=
4 x 3 x 2
=
24
Ans
=
180
−
24
=
156
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